Class 12 Maths – RD Sharma Chapter 4 : Inverse Trigonometric Function Very Short Type Questions (VSAQs) Solutions (Step-by-Step Guide)

RD Sharma Chapter 4 : Inverse Trigonometric Function Very Short Type Questions (VSAQs) Solutions

1. Write the value of sin^-1(-√3/2) + cos^-1(-1/2) Watch Solution
2. Write the difference between maximum and minimum values of sin^-1x for x ∈[-1,1] Watch Solution
3. If sin^-1x+sin^-1y + sin^-1z = 3π/2, then write the value of x + y + z. Watch Solution
4. If x > 1, then write the value of sin^-1{2x/(1+x^2)} in terms of tan^-1 x. Watch Solution
5. If x < 0, then write the value of cos^-1((1-x^2)/(1+x^2)) in terms of tan^-1x. Watch Solution
6. Write the value of tan^-1x + tan^-1(1/x) for x > 0. Watch Solution
7. Write the value of tan^-1x + tan^-1(1/x) for x < 0. Watch Solution
8. What is the value of cos^-1(cos2π/3) + sin^-1(sin2π/3) ? Watch Solution
9. If -1 < x < 0, then write the value of sin^-1(2x/(1+x^2)) + cos^-1((1-x^2)/(1+x^2)). Watch Solution
10. Write the value of sin(cot^-1x) Watch Solution
11. Write the value of cos^-1(1/2) + 2sin^-1(1/2). Watch Solution
12. Write the range of tan^-1 x Watch Solution
13. Write the value of cos^-1(cos 1540°) Watch Solution
14. Write the value of sin^-1(sin -600°) Watch Solution
15. Write the value of cos(2sin^-1(1/3)). Watch Solution
16. Write the value of sin^-1(sin 1550°) Watch Solution
17. Evaluate: sin(1/2cos^-1(4/5)) Watch Solution
18. Evaluate: sin(tan^-1(3/4)) Watch Solution
19. Write the value of cos^-1(tan 3π/4) Watch Solution
20. Write the value of cos(2sin^-1(1/2)) Watch Solution
21. Write the value of cos^-1(cos 350°) – sin^-1(sin 350°) Watch Solution
22. Write the value of cos^2(1/2(cos^-1(3/5)) Watch Solution
23. If tan^-1x + tan^-1y = π/4, then write the value of x + y = xy Watch Solution
24. Write the value of cos^-1(cos 6). Watch Solution
25. Write the value of sin^-1(cos π/9) Watch Solution
26. Write the value of sin{π/3 – sin^-1(-1/2)} Watch Solution
27. Write the value of tan^-1{tan(15π/4)} Watch Solution
28. Write the value of 2sin^-1(1/2) + cos^-1(-1/2) Watch Solution
29. Write the value of tan^-1(a/b) – tan^-1((a-b)/(a+b)) Watch Solution
30. Write the value of cos^-1(cos 5π/4) Watch Solution
31. Show that sin^-1{2x√(1-x^2)} = 2sin^-1x Watch Solution
32. Evaluate sin^-1(sin 3π/5) Watch Solution
33. If tan^-1(√3) + cot^-1(x) = π/2, find x. Watch Solution
34. If sin^-1(1/3) + cos^-1x = π/2, then find x. Watch Solution
35. Write the value of sin^-1(1/3) – cos^-1(-1/3) Watch Solution
36. If 4sin^-1x + cos^-1x = π, then what is the value of x ? Watch Solution
37. If x < 0, y < 0 such that xy = 1, then write the value of tan^-1x + tan^-1y. Watch Solution
38. What is the principal value of sin^-1(-√3/2) ? Watch Solution
39. Write the principal value of sin^-1(-1/2) Watch Solution
40. Write the principal value of cos^-1(cos 2π/3) + sin^-1(sin 2π/3) Watch Solution
41. Write the value of tan(2tan^-1(1/5)) Watch Solution
42. Write the principal value of tan^-1(1) + cos^-1(-1/2) Watch Solution
43. Write the value of tan^-1{2sin(2cos^-1(√3/2))} Watch Solution
44. Write the principal value of tan^-1√3 + cot^-1√3. Watch Solution
45. Write the principal value of cos^-1(cos 680°) Watch Solution
46. Write the value of sin^-1(sin(3π/5) Watch Solution
47. Write the value of sec^-1(1/2) Watch Solution
48. Write the value of cos^-1(cos(14π/3)) Watch Solution
49. Write the value of cos(sin^-1x + cos^-1x), |x| ≤ 1 Watch Solution
50. Write the value of the expression tan((sin^-1x + cos^-1x)/2), when x = √3/2 Watch Solution
51. Write the principal value of sin^-1{cos(sin^-1(1/2))} Watch Solution
52. The set of values of cosec^-1(√3/2) Watch Solution
53. Write the value of tan^-1(1/x) for x < 0 in terms of cot^-1(x) Watch Solution
54. Write the value of cot^-1(-x) for all x ∈ R in terms of cot^-1(x). Watch Solution
55. Write the value of cos((tan^-1x + cot^-1x)/3), when x = -1/√3 Watch Solution
56. If cos(tan^-1 x + cot^-1 √3) = 0, find the value of x. Watch Solution
57. Find the value of 2sec^-1 (2) + sin^-1(1/2). Watch Solution
58. If cos(sin^-1(2/5) + cos^-1(x)) = 0, find the value of x. Watch Solution
59. Find the value of cos^-1(cos 13π/6) Watch Solution
60. Find the value of tan^-1(tan(9π/8)) Watch Solution

 

INVERSE TRIGONOMETRIC FUNCTIONS – R.D. Sharma Class 12th Math

1. Inverse Trigonometric Functions Exercise 4.1 Video Solution
2. Inverse Trigonometric Functions Exercise 4.2 Video Solution
3. Inverse Trigonometric Functions Exercise 4.3 Video Solution
4. Inverse Trigonometric Functions Exercise 4.4 Video Solution
5. Inverse Trigonometric Functions Exercise 4.5 Video Solution
6. Inverse Trigonometric Functions Exercise 4.6 Video Solution
7. Inverse Trigonometric Functions Exercise 4.7 Video Solution
8. Inverse Trigonometric Functions Exercise 4.8 Video Solution
9. Inverse Trigonometric Functions Exercise 4.9 Video Solution
10. Inverse Trigonometric Functions Exercise 4.10 Video Solution
11. Inverse Trigonometric Functions Exercise 4.11 Video Solution
12. Inverse Trigonometric Functions Exercise 4.12 Video Solution
13. Inverse Trigonometric Functions Exercise 4.13 Video Solution
14. Inverse Trigonometric Functions Exercise 4.14 Video Solution
15. Inverse Trigonometric Functions Very Short Answer Questions (VSAQs) Video Solution
16. Inverse Trigonometric Functions Multiple Choice Questions (MCQs) Video Solution